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Finding the Fourth Proportional to 2,297.78, 3,170.97 and 1,413.06

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Solution

The fourth proportional to 2,297.78, 3,170.97 and 1,413.06 is: 1,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.78 : 3,170.97 = 1,413.06 : x
  2. Step 2: Convert to fraction form
    2,297.78/3,170.97 = 1,413.06/x
  3. Step 3: Cross multiply
    2,297.78x = 3,170.97 × 1,413.06
  4. Step 4: Simplify right side
    2,297.78x = 4,480,770.87
  5. Step 5: Solve for x
    x = 4,480,770.87/2,297.78
  6. Step 6: Final answer
    x = 1,950.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.